In: Statistics and Probability
=
Solution :
Given that ,
mean =
= 355
standard deviation =
= 80
n = 48
= 355
=
/
n= 80 /
48=11.55
P(340<
<360 ) = P[(340-355) /11.55 < (
-
) /
< (360-355) /11.5 )]
= P(-1.30< Z <0.43 )
= P(Z <0.43 ) - P(Z <-1.30 )
Using z table
=0.6664-0.0968
=0.5696
probability= 0.5696